Solve y=3x-4 and y=2/5x+ 9
using systems of linear eqautions
Answers
Answer:
(5 , 11)
Step-by-step explanation:
[tex]Equation\ 1\\\\\y=3x-4\\\\Equation\ 2\\\\\y=\frac{2}{5}x+9[/tex]
There are three ways to solve the systems of linear equations
1) Elimination method - where we add/subtract the equations to eliminate the variable
2) Substitution method - where we substitute one variable in the form of another variable
3) Graphing method - where we sketch the graphs of both the equations and if they intersect that point would be the solution and if they don't there is no solution
We use the second method the Substitution method which is the easiest in my opinion.
Here we got two equations so lets just substitute equation 1 with equation 2 meaning insert equation 1 into equation 2 like here:
[tex]3x-4=\frac{2}{5}x+9[/tex]
as you can see here we eliminated the variable y by substituting y in terms of x.
Now we just solve the equation algebraically
[tex]3x-4=\frac{2}{5}x+9\\3x-\frac{2}{5}x=9+4\\\frac{15x-2x}{5} =13\\\\\frac{13x}{5}=13\\\\13x=65\\x=65/13\\x=5\\[/tex]
The value of x is 5 now to find the value of y we insert the value of x in any two equations lets insert the value of x into equation 1
[tex]y=3x-4\\y=3(5)-4\\y=15-4\\y=11[/tex]
so the solution of the system of linear equations is (5 , 11)
Related Questions
10. What is the area of a triangle with base 4cm and
height 8cm?
A. 6cm2 B. 9cm2 C. 14cm D. 16 cm
Answers
Step-by-step explanation:
Area of triangle = 0.5(4)(8) = 16cm² (D).
Marita always listen to her favourite radio station when she drives her car
Everymoarning she listen to her radio
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what is the value of tan(arccos(-sqrt2/2)
Answers
Answer:
i think is -1 because the value is -1
Answer:
D. -1
Step-by-step explanation:
ed2021
Find the equation for parabola
Focus(3,4)
Directrix y=2
Answers
Answer:
Step-by-step explanation:
we know that distance d from the focus to P should be the same to the distance from P to the directrix
(x-h)^2=4p(y-k)
we need to find the y coordinate,
x is the same from focus, 3
y=(3, (4+2)/2)=(3,3)
we find p now by subtracting the y from the focus from the y that we just found
p=4-3=1
again (x-h)^2=4p(y-k), p=1
(x-3)^2=4(1)(y-3)
(x-3)^2=4(y-3), (x-3)^2=4y-12
simplify
4y=(x-3)^2+12
y=((x-3)^2)/4 + 3
The equation for the parabola would be y = ((x-3)^2)/4 + 3.
How to find the equation for the parabola?We already know that distance d from the focus to P must be the same as the distance from P to the directrix
(x-h)^2 = 4p(y-k)
x is the same from focus 3
y = (3, (4+2)/2)
y =(3,3)
by subtracting the y from the focus from the y that we get
p = 4-3 =1
similalry,
(x-h)^2=4p(y-k), p=1
(x-3)^2=4(1)(y-3)
(x-3)^2=4(y-3),
(x-3)^2=4y-12
simplify it;
4y=(x-3)^2+12
y = ((x-3)^2)/4 + 3
Thus, the equation for the parabola would be y = ((x-3)^2)/4 + 3.
Learn more about parabola here;
https://brainly.com/question/16294220
#SPJ2
85 POINT QUESTION!!! What is the equation of this trend line? Enter your answers by filling in the boxes. K = J + Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable J. The vertical axis is labeled Variable K. Points are plotted at begin ordered pair 2 comma 16 end ordered pair, begin ordered pair 2 comma 24 end ordered pair, begin ordered pair 4 comma 16 end ordered pair, begin ordered pair 4 comma 20 end ordered pair, begin ordered pair 5 and 93 hundredths comma 9 and 62 hundredths end ordered pair, begin ordered pair six comma 12 end ordered pair, begin ordered pair 6 comma 16 end ordered pairm beign ordered pair 10 comma 2 end ordered pair, begin ordered pair 10 comma 8 end ordere dpair. A line is drawn through begin ordered pair 2 comma 24 end ordered pair, begin ordered pair 4 comma 20 end ordered pair, begin ordered pair 6 comma 16 end ordered pair, and begin ordered pair 10 comma 8 end ordered pair.
Answers
The answer for this question would be K=-2J+28. I hoped I helped!
Answer:
K=-2J+28
Step-by-step explanation:
i took the k 12 test
Which statement is true
A. The 6 in 0.6 is ten times the value of the 6 in 6.0 (wrong)
B. The 6 in 6.5 is 1/10 the value of the 6 in 65
C. The 6 in 625 is 100 times the value of the 6 in 625
Answers
Answer:
i think it A
Step-by-step explanation:
i need help with this one (T_T)
Answers
Which of the following is equal to 16.4 ?
O A. 32
O B. V16.4
O c.
D. 64
Answers
Answer:
b?
Step-by-step explanation:
b= v16.4
The value of y varies directly with x, and y =-10 when x=40, identify the value of y when x =-5
Answers
Answer:
I think that answer is 5 or 35
Solve the problem.
A dress regularly sells for $135. The sale price is $93. Find the percent decrease of the sale price from the regular
price.
31.1%
221.4%
45.2%
68.9%
Answers
Answer:
32% Decrease
Step-by-step explanation:
93 = x * 135 (divide both sides by 135 to get X alone.)
x=0.68 - Repeated (This tells us that it was paid 68% of the OG price.)
1 - 0.68 = 0.32 (We need to subtract the percent paid from the OG price to find the percent discount.)
The percent decrease was 32% off.
None of your answer choices are right!
You can spend up to $35 on a shopping trip. You want to buy a shirt that cost $14. Write and solve an inequality that represents the amount of money you will have left if you buy the shirt
Answers
Answer:
Step-by-step explanation:
a. 35 greater than or equal to 14 + x
35 - 14 = 21
x = $21
b. If the shirt is 30% off it would cost $9.80
14 x 0.3 = 4.2
14 - 4.2 = 9.8
35 is greater than or equal to 9.80 + x
35 - 9.8 = 25.2
x = $25.20
This changes the inequality by making x greater than it was in part a
c. Yes, you do have enough money to buy the shirt that is on sale and a pair of pants. x is the amount that you have left to spend after you buy the shirt that is on sale. 25.20 is greater than the cost of the pants.
WILL MARK BRAINLIEST PLEASE ANSWER 12/15+5/15 1 NUMBER FOR EACH SLOT
Answers
Answer:
17/15
Step-by-step explanation:
or if u reduce it would be 12/15
Which graph is defined by the function given below?
y= (x+3)(x +3)
-10
-10+
10-
A
B.
C
D.
Answers
Step-by-step explanation:
Since y = (x + 3)(x + 3), the root is x = -3.
Only Graph A touches the x-axis once.
The right rectangular prism below has a square base?Select yes or no.
Answers
Answer:
no
Step-by-step explanation:
if it's a prism then it wont have a square bottom
Type the correct answer in each box. Use numerals instead of words.
Renee and David plan to file taxes as married filing jointly. They have a combined taxable income of $51,325. Use the table to determine the amount of tax due, and calculate their effective tax rate, rounding to the nearest tenth.
Answers
Answer:
the answer is 6766 and the percent is 13.2
Step-by-step explanation:
100 on the plato test
One way to find the total cost of a jacket for $55 with a sales tax of 2%
Answers
Answer:
cost of jacket 55
sales tax 2/
55/ 2 percent × 100
2,750
Your friend finds the measure of the exterior angle shown. Is your friend correct?
Answers
Answer:
will i think that's true
Step-by-step explanation:
I hope this helps you
Answer:
I think that it is yes
Step-by-step explanation:
Hope this helped have an amazing day!
What is the common difference for this arithmetic sequence?
-6, -1,4,9, 14, ...
A. 5
B. 3
C. 6
D. 4
Answers
Answer:
A. 5
Step-by-step explanation:
-6 + 5 = -1
-1 + 5 = 4
4 + 5 = 9
9 + 5 = 14
What is the degree of 24x?
Answers
Answer:
one
Step-by-step explanation:
what is 344.7234 to 1 decimal point
Answers
Answer: 344.7
Explanation:
344.7∣234
(Cut ^off point at the line)
The digit to the right of the cut of the point is less than 5. So the digit to its left (the 7) is not changed and all those to the right are changed to 0 gives you:
344.7000
Written as 344.7
Hope this helps and hope you have a wonderful day :)
I need help with this problem
Answers
I wrote this because 20 word rule
The following list gives the number of siblings for each of 8 students. 3, 4, 2, 1, 2, 0, 3, 0 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."
Answers
Answer:
3, 2, 0
Step-by-step explanation:
There are three modes, all numbers have at least two appearances.
Please give thanks by clicking the heart! I solved your other problem too :)
what's 2+2-2-4+77 and what is the square root of the sum
Answers
Answer:
simplified it is 75 the square root of 75 is 8.66025403784
Step-by-step explanation:
Belleville High School offers classes on three different foreign languages. Let A be the event that a student is in eleventh grade, and let B be the event that a student is enrolled in French class. A 5-column table has 4 rows. The first column has entries Tenth grade, eleventh grade, twelfth grade, total. The second column is labeled Spanish with entries 107, 56, 89, 252. The third column is labeled French with entries 122, 68, 82, 272. The fourth column is labeled German with entries 6, 14, 8, 28. The fifth column is labeled Total with entries 235, 138, 179, 552. Which statement is true about whether A and B are independent events? A and B are independent events because P(A∣B) = P(A). A and B are independent events because P(A∣B) = P(B). A and B are not independent events because P(A∣B) ≠ P(A). A and B are not independent events because P(A∣B) ≠ P(B).
Answers
Answer:
A) A and B are independent events because P(A∣B) = P(A).
Step-by-step explanation:
Egde 2020
Answer: OPTION A
Step-by-step explanation:
Please help me thank you
Answers
Answer:
90
Step-by-step explanation:
90
At ShopRite, chicken sells for $3.75 per pound. How much would it cost to buy 2.25 pounds of chicken?
Answers
Answer: 8.4375 U.S. dollars2
Step-by-step explanation:
Answer:
$8.44
Step-by-step explanation:
From the question it self we know that 1 pound of chicken costs $3.75. In order to solve this question we just need to find out how much 1 pound does fit into 2.25 pounds and then multiple the result by $3.75. We can find that out by dividing 2.25 by 1, and we get 2.25. Then we do the following....
2.25 x $3.75 = $8.4375
We got $8.4375 as an answer but we have to remember that when we are talking about money and we have to round to the nearest cent (which is equal to 1 hundredth of a dollar). So now we just have to round to the nearest hundredth, and we get $8.44 as our answer.
In 2000, in order to reduce the unemployment rate, France mandated all employers with 20 or more employees to reduce the workweek to 35 hours. Prior to the new law, the unemployment rate in France was 12%. In a random sample of 500 French workers taken a few years after the new law went into effect, 53 workers were found to be unemployed. Using the p-value method, conduct a hypothesis test to determine if the French unemployment rate dropped after the enactment of the 35- hour workweek law. Assume the significance level as 0.05. (7 Points)
Answers
Answer:
We accept H₀ for a CI = 95 % we din´t find differences in the unemployment level
Step-by-step explanation:
p₀ = 12 % p₀ = 0,12
From sample p = 53/500 p = 0,106
Test Hypothesis
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p < p₀
p₀*n = 0,12*500 = 60
q₀ * n = 0,88 * 500 = 440
Then the binomial distribution can be approximate to a normal distribution
The significance level α = 0,05 CI = 95 %
We need to develop a one-tail test (to the left ) find p-value and compare it with α.
p(s) = ( p - p₀ ) / √ p*q /n
p(s) = 0,106 - 0,12 / √(0,12)*(0,88)/500
p(s) = - 0,014 / 0,015
p(s) = - 0,93
With this P score we find the area under the bell shape curve
p-value = 0,1762 and compare that area with α = 0,05
Then p-value > 0,05
Therefore we accept H₀
A box contains 1 3/4 Pasta how many ounces of pasta are in the box
Answers
Answer:
Step-by-step explanation:
is there more information to the question??
00:00
What is the number of terms in this expression?
m
5
+4x6
5
Enter your answer in the box.
Answers
Answer:
40
Step-by-step explanation:
Please help answer the first 3 boxes for brainslt
> for brainslt
Answers
y=mx+b
1st one:
m=-3 b=-2
Not sure for proportional
Negative Slope
2nd one:
m=15 b=0
Proportional
Positive Slope
3rd one:
m=-4/3 b=8
Not sure proportional or not
Negative Slope
Answer:
Work shown below!
Step-by-step explanation:
y = -3x - 2
m = -3
b = -2
Non-proportional because it doesn't pass through the origin
Negative Slope
y = 15x
m = 15
b = 0
Proportional because it passes through the origin
Positive Slope
y = -4/3x + 8
m = -4/3
b = 8
Non-proportional because it doesn't pass through the origin
Negative Slope